is there an option to repeat export?
You can use script for the export. Or command in Python Console

The standard fbx_exporter is bpy.ops.export_scene.fbx():

A quick example:bpy.ops.export_scene.fbx(filepath='C:/tmp/test.fbx') (the directory should exist!!)


For more option you want, see the documentation and change the default value to what you want. And short cut, is some what more complicated. Use Alt+P in text editor will be lot of easier.